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A square mosaic has a diagonal of 3 m. What is its area?

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals

A $3 m^{2}$
B $9 m^{2}$
C $4.5 m^{2}$
D $6 m^{2}$

Step-by-Step Solution

A square is a rhombus, so area = ½ ×

d \times d

= ½ ×

3 \times 3 = 4.5 m^{2} . (9 m^{2}

treats the diagonal as a side.)

Answer: C)

4.5 m^{2}

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